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Finding the Fourth Proportional to 677.07, 934.31 and 382.32

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Solution

The fourth proportional to 677.07, 934.31 and 382.32 is: 527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.07 : 934.31 = 382.32 : x
  2. Step 2: Convert to fraction form
    677.07/934.31 = 382.32/x
  3. Step 3: Cross multiply
    677.07x = 934.31 × 382.32
  4. Step 4: Simplify right side
    677.07x = 357,206.36
  5. Step 5: Solve for x
    x = 357,206.36/677.07
  6. Step 6: Final answer
    x = 527.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.